Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454g |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
1041281038336 = 211 · 7 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11- 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2543,-6299] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:85:1] |
Generators of the group modulo torsion |
j |
1027243729/587776 |
j-invariant |
L |
2.6708936408927 |
L(r)(E,1)/r! |
Ω |
0.72863976320589 |
Real period |
R |
1.8327943208806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
574g1 |
Quadratic twists by: -11 |